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Debora [2.8K]
3 years ago
14

The tea chest needs to send the sales tax that it has collected to the state. The total sales, including 4% sales tax are $7115.

68. How much in sales tax does the store need to send to the state?
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0
.04*7115.68=284.6272

$284.62 or $284.63 (depending on how lenient your teacher is with rounding)
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Help please if anyone knows
larisa86 [58]
<u>Part A
</u>
<u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, \frac{3}{5} and \frac{2}{3} equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

<u>Part B
</u>
<u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

1 \frac{3}{5} \\ \\  (5*1)+3 =8 \\  \\  \frac{8}{5}  \\  \\  \\ \\  1 \frac{2}{3} \\  \\ (3*1)+2=5 \\  \\  \frac{5}{3}  &#10;

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

\frac{8}{5} *3 =   \frac{24}{15} \\  \\  \frac{5}{3} *5 =  \frac{25}{15}

Now, we can simply add our numerators.

25+24=49

We know that he needs \frac{49}{15} gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

\frac{49}{15} \\  \\ 49 / 15 = 3(Remainder: 4) \\  \\  3\frac{4}{15}

Using that logic, we can see that the painter needs exactly 3 \frac{4}{15} gallons of paint.    
4 0
3 years ago
The u.s. senate consists of 100 members, 2 from each state. A committee of five senators is formed. What is probability it conta
shtirl [24]

Answer:

The probability is 9.80%.

Step-by-step explanation:

The u.s. senate consists of 100 members, 2 from each state.

A committee of five senators is formed.

P(at least one from Your state) = 1- \frac{98c5}{100c5}

= 1- \frac{67910864}{75287520}

= 1-0.9020

= 0.098

That is, 9.80%.

4 0
3 years ago
Please Help me with this, will mark brainliest if correct
wolverine [178]

Answer:

110

Step-by-step explanation:

Using pythagorean theorm

c^2 = a^2 + b^22

610^2  = 600^2 + b^2

372100 = 360000 + b^2

b^2 = 12100

b = 110

7 0
3 years ago
Read 2 more answers
Hello, this is my last attempt to get it right so if you can please help me​
irga5000 [103]

Answer:

138°

Step-by-step explanation:

x+115°=6x° [ being vertically opposite angle]

or, 115=6x - x

or, 115=5x

or, 115/5 =x

or, x=23

Then,

x+115°

= 23+115°

=138°

<em>Mark</em><em> </em><em>me</em><em> </em><em>brainliest</em><em> </em><em>plz</em><em>.</em>

8 0
2 years ago
Read 2 more answers
How do I know when I need to use SSS or SAS in geometry? I'm having a lot of trouble understanding the difference and when to us
Pavel [41]
SSS = Side-Side-Side
If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent.


SAS  = Side-Angle-Side
If two sides and the included angle are equal to the corresponding parts of another triangle then the triangles are congruent.'
The angle must be formed by the two pairs of congruent, corresponding sides of the triangles. If the angles are not formed by the two sides that are congruent and corresponding to the other triangle's parts then you cannot use the SAS postulate.

you will notice that the main difference between the two postulates is that the SAS consists of an angle and the SSS does not.

hope this helps :)




7 0
3 years ago
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